In a sample of size 40, the sample mean is 15. In this case, the sum of all observations in the sample is $ \Sigma $Xᵢ = 600.

Question

Quizplus · Accepted Answer

By definition, the sample mean is the sum of all observations (ΣXᵢ) divided by the sample size (n). Therefore, if the sample mean is 15 and the sample size is 40, we can calculate the sum of all observations as follows:

ΣXᵢ = n x sample mean
ΣXᵢ = 40 x 15
ΣXᵢ = 600

So, the statement is true.

In a Sample of Size 40, the Sample Mean Is Σ \Sigma Σ

In a Sample of Size 40, the Sample Mean Is $\Sigma$